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Unformatted text preview: Virginia Tech - Air Transportation Systems Laboratory Detailed Example of Aircraft Performance Calculations: Climb Performance CEE 5614 Analysis of Air Transportation Systems Dr. Antonio A. Trani Professor Virginia Tech - Air Transportation Systems Laboratory Example - Aircraft Climb Performance Use the the vehicle characteristics for the very large capacity transport aircraft in the Matlab files for CEE 5614 to solve this problem (http://128.173.204.63/courses/cee5614/cee5614_pub/ AirbusA380_class.m) Estimate the rate of climb for this aircraft at two distinct points in the climb profile: a) 600 meters (2,000 feet) and 210 knots - IAS b) 8,000 meters (26,200 feet) and 290 knots - IAS Estimate the thrust produced by the engines under both conditions Find the Lift to Drag ratio for both conditions Assume the International Standard Atmosphere applies to both aircraft states 2 Virginia Tech - Air Transportation Systems Laboratory Example - Aircraft Climb Performance Data File Very large capacity transport aircraft (http://128.173.204.63/ courses/cee5614/cee5614_pub/AirbusA380_class.m ) geometric, mass and specic fuel consumption drag data engine thrust data speed prole data 3 Virginia Tech - Air Transportation Systems Laboratory Example - Aircraft Climb Performance Controlling the Speed ProFle Very large capacity transport aircraft (http://128.173.204.63/ courses/cee5614/cee5614_pub/AirbusA380_class.m ) The aircraft speed is controlled by the last three lines of data in the aircraft data file Line 1 (see below) defines the climb speed in knots (indicated airspeed) Line 2 defines the descent speed in knots (IAS) Line 3 defines the altitudes at which each speed value is selected For example: The aircraft below climbs at 210 knots just after takeoff (zero altitude) and reaches 250 knots at 4000 meters 4 Virginia Tech - Air Transportation Systems Laboratory Example - Very Large Capacity Aircraft Data File An aircraft similar in size and performance as the Airbus A380 Four turbofan engines each developing 34,400 kg (338,000 N) at sea level Maximum takeoff mass is 540,000 kg. (1.188 million pounds) Airbus A380 taxies to the gate at LAX (A.A. Trani) 5 Virginia Tech - Air Transportation Systems Laboratory Example - Aircraft Climb Performance Picture the Situation Always picture the situation and sketch a free body diagram of the system For this analysis we will ignore the second term in the Right Hand Side (RHS) of the differential equation (acceleration term) This simulates that the pilot is interested in climbing as fast as possible and thus using all the engine thrust to climb 6 Virginia Tech - Air Transportation Systems Laboratory Calculation of Performance at two points in the Climb ProFle The analysis assumes the aircraft is studied as a point mass system. We evaluate the performance at two discrete points The analysis can be repeated many times to study time to climb, fuel used, and other metrics 7 Virginia Tech - Air Transportation Systems Laboratory...
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